He will only get a block once a month but long term as randomness starts giving away his lower costs will have the final word and he will be more profitable even with 1/100of the hashrate!
Let's do the math how much hashrate power you need to statistically win the hash lottery for one block a month (to sustain a reliable income you should better join a decent mining pool, one with enough combined hashpower to generate blocks at some steady and somewhat predictable rate and fair conditions):
- current assumed cumulative hashpower worldwide ~529 EH/s (MA according to https://mempool.space/graphs/mining/hashrate-difficulty
- assuming on average 2016 blocks per two weeks --> (2016 times 26) divided by 12 equals 4368 blocks per month on average
- ~529 EH/s divided by 4368 equals ~121,108 TH/s that such a miner needs to have roughly to generate one block per month on average
Let's further assume you've quite recent and efficient gear like Bitmain Antminer S19 XP: ~140 TH/s @ 3010W per device. Such a miner would need a mining farm of ~865 of such devices and as cheap as possible access to power delivery of at minimum 2.6 MWh for the ASICs alone (not accounting for power losses of distributing the power internally, operating the mining farm facility, cooling, ...).
That's serious business and investment for one block per month on average and I'm already assuming ideal operating conditions. And due to general trend of development of Bitcoin's mining difficulty this won't be a steady state block generation rate for such a miner. To keep the rate of one block per month on average this miner would need to add ASICs roughly at the rate the difficulty adds up (the long term trend is usually rising...).